920858040 has 288 divisors, whose sum is σ = 3258571680. Its totient is φ = 225398784.

The previous prime is 920858021. The next prime is 920858041. The reversal of 920858040 is 40858029.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 920857986 and 920858004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920858041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5514037 + ... + 5514203.

It is an arithmetic number, because the mean of its divisors is an integer number (11314485).

Almost surely, 2^920858040 is an apocalyptic number.

920858040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920858040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629285840).

920858040 is an abundant number, since it is smaller than the sum of its proper divisors (2337713640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

920858040 is a wasteful number, since it uses less digits than its factorization.

920858040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 920858040 is about 30345.6428503336. The cubic root of 920858040 is about 972.8910946289.

The spelling of 920858040 in words is "nine hundred twenty million, eight hundred fifty-eight thousand, forty".